A diatomic ideal gas has initial pressure pi and initial volume V1. The gas then undergoes a sorios of three transformations: a) Sketch this cycle of transformations on a p-V diagram. • First, a bunsen burner causos the gas to expand, at constant prossure, to volume 7V. b) Find the temperature at all three "corners" of the cycle. Expross all three temperaturos in terms of pi, Vi, and N. • Next, the volume is held constant while an ice bath lowers the pressure to pi/4. c) Find AE, the change in the internal energy of the gas during transformation (i). Likewise, find AE and AEi. (Express all three answers in terms of pi and Vi.) • Finally, a water bath allows the gas to be compressed along a straight line in the p- V plane, until the prossure and the volume return to their initial values. d) Add up the three changes in internal energy: AE + AEu + AEu. Why do you get zero for the total change in internal energy over the cycle?

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answer part d

A diatomic ideal gas has initial pressure pi
and initial volume Vi.
undergoes a series of three transformations:
a) Sketch this cycle of transformations on a p-V
diagram.
The gas then
• First, a bunsen burner causes the gas to
expand, at constant pressure, to volume
7V.
b) Find the temperature at all three "corners" of
the cycle. Express all three temperatures in
terms of pi, Vi, and N.
• Next, the volume is held constant while an
ice bath lowers the pressure to pi/4.
c) Find AEi, the change in the internal energy of
the gas during transformation (i). Likewise,
find AEi and AE. (Express all three answers
in terms of pi and V1.)
• Finally, a water bath allows the gas to be
compressed along a straight line in the p- d) Add up the three changes in internal energy:
V plane, until the pressure and the
volume return to their initial values.
AE: + AEn + AEt. Why do you get zero for the
total change in internal energy over the cycle?
**
Transcribed Image Text:A diatomic ideal gas has initial pressure pi and initial volume Vi. undergoes a series of three transformations: a) Sketch this cycle of transformations on a p-V diagram. The gas then • First, a bunsen burner causes the gas to expand, at constant pressure, to volume 7V. b) Find the temperature at all three "corners" of the cycle. Express all three temperatures in terms of pi, Vi, and N. • Next, the volume is held constant while an ice bath lowers the pressure to pi/4. c) Find AEi, the change in the internal energy of the gas during transformation (i). Likewise, find AEi and AE. (Express all three answers in terms of pi and V1.) • Finally, a water bath allows the gas to be compressed along a straight line in the p- d) Add up the three changes in internal energy: V plane, until the pressure and the volume return to their initial values. AE: + AEn + AEt. Why do you get zero for the total change in internal energy over the cycle? **
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